Puzzle: Squares & Rectangles
Easy: How many squares can you count in this figure?
204 squares
No. of 1 x 1 squares = 64
No. of 1 x 1 squares = 49
No. of 1 x 1 squares = 36
No. of 1 x 1 squares = 25
No. of 1 x 1 squares = 16
No. of 1 x 1 squares = 09
No. of 1 x 1 squares = 04
No. of 1 x 1 squares = 01
These add up to a total of 204.
Difficult: Let’s count the number of rectangles in the same figure?
1296 rectangles.
Each rectangle is uniquely positioned in the figure by two horizontal lines and two vertical lines. There are 36 ways of choosing two horizontal lines and 36 ways of choosing two vertical lines, giving a total of 36 * 36 = 1296 rectangles.
